Hypersurfaces in space forms satisfying the condition $L_{k}x=Ax+b$

Luis J. Alias, S. M. B. Kashani

We study hypersurfaces either in the sphere \s{n+1} or in the hyperbolic space \h{n+1} whose position vector $x$ satisfies the condition $L_{k}x=Ax+b$, where $L_k$ is the linearized…